Dr. A. Suvorikova (Universität Potsdam)
Wednesday, June 26, 2019 - 10:00
Weierstraß-Institut
Mohrenstr. 39, 10117 Berlin, Raum: 406/405, 4. Etage
Forschungsseminar Mathematische Statistik
In the first part of the talk we present some concentration and convergence properties of Bures-Wasserstein (BW) barycenters of hermitian finite-dimensional matrices, and explain how they can be used for investigation of geometry of DNA molecules modelled as a union of ridgid bodies. In the second part we show how the framework of classical resampling techniques can be extended to the case of the BW space, and introduce some geometrical intuition behind the construction of non-asymptotic confidence sets for BW barycenters.
submitted by chschnei (christine.schneider@wias-berlin.de, 030 20372574)